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Citation - Scopus: 5
Component Importance in Coherent Systems With Exchangeable Components
(Applied Probability Trust, 2015) Eryilmaz,S.
This paper is concerned with the Birnbaum importance measure of a component in a binary coherent system. A representation for the Birnbaum importance of a component is obtained when the system consists of exchangeable dependent components. The results are closely related to the concept of the signature of a coherent system. Some examples are presented to illustrate the results. © 2015 Applied Probability Trust.
Citation - WoS: 25
Citation - Scopus: 33
Dynamic Behavior of k-out-of-n< Systems
(Elsevier, 2011) Eryilmaz, Serkan
In this paper, we study the distribution and expected value of the number of working components at time t in usual and weighted k-out-of-n:G systems under the condition that they are working at time t. We evaluate the distribution of the corresponding conditional random variable and compute its expected value for the systems consisting of independent but nonidentical components. Illustrative examples are presented and an optimization problem which makes use of the conditional random variable is also formulated and solved numerically. (c) 2011 Elsevier B.V. All rights reserved.